To find the number of ways 11 children can be arranged in one row of 11 chairs, we can use the concept of permutations.
1. Since each child occupies a unique chair, we need to calculate the number of permutations for 11 children. This can be done using the formula for permutations of n objects taken all at a time, which is n!.
2. In this case, n = 11 (the number of children). So, the number of ways the 11 children can be arranged in the 11 chairs is 11!.
3. Calculating 11! (11 factorial) gives us: 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 39,916,800.
Therefore, there are 39,916,800 ways in which the 11 children can be arranged in a row of 11 chairs. Each arrangement would be unique because each child occupies a distinct chair in the row.
